Pith Number

pith:FUUJHKKO

pith:2016:FUUJHKKO2E3FRLQNE3XYXZB7AX

not attested not anchored not stored refs pending

Weak Separation, Pure Domains and Cluster Distance

Miriam Farber, Pavel Galashin

arxiv:1612.05387 v1 · 2016-12-16 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUUJHKKO2E3FRLQNE3XYXZB7AX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:11:11.817928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d2893a94ed13658ae0d26ef8be43f05cecca666d12e2abbe195ee4a398ee687

Aliases

arxiv: 1612.05387 · arxiv_version: 1612.05387v1 · doi: 10.48550/arxiv.1612.05387 · pith_short_12: FUUJHKKO2E3F · pith_short_16: FUUJHKKO2E3FRLQN · pith_short_8: FUUJHKKO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FUUJHKKO2E3FRLQNE3XYXZB7AX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2d2893a94ed13658ae0d26ef8be43f05cecca666d12e2abbe195ee4a398ee687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86d706c82151ee641533086a17d151c911d2c60cda0981943d909a5afa5c9990",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-16T07:17:45Z",
    "title_canon_sha256": "a6acf7d8eed4f04c87c7a511f3455d8613998f20d797e91e63bf9df305e688d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05387",
    "kind": "arxiv",
    "version": 1
  }
}